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Finding the Third Proportional to 87,674 and 191,754

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Solution

The third proportional to 87,674 and 191,754 is: 419,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,674 : 191,754 = 191,754 : x
  2. Step 2: Convert to fraction form
    87,674/191,754 = 191,754/x
  3. Step 3: Cross multiply
    87,674x = 191,754 × 191,754
  4. Step 4: Simplify right side
    87,674x = 36,769,596,516
  5. Step 5: Solve for x
    x = 36,769,596,516/87,674
  6. Step 6: Final answer
    x = 419,389.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.